2413200000013 has 24 divisors (see below), whose sum is σ = 2768314348800. Its totient is φ = 2098084882080.

The previous prime is 2413200000011. The next prime is 2413200000041. The reversal of 2413200000013 is 3100000023142.

It is a happy number.

It is not a de Polignac number, because 2413200000013 - 2¹ = 2413200000011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413200000011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17377468 + ... + 17515786.

It is an arithmetic number, because the mean of its divisors is an integer number (115346431200).

Almost surely, 2^{2413200000013} is an apocalyptic number.

2413200000013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2413200000013 is a deficient number, since it is larger than the sum of its proper divisors (355114348787).

2413200000013 is a wasteful number, since it uses less digits than its factorization.

2413200000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144633 (or 144622 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2413200000013 its reverse (3100000023142), we get a palindrome (5513200023155).

The spelling of 2413200000013 in words is "two trillion, four hundred thirteen billion, two hundred million, thirteen", and thus it is an aban number.